LAB GOAL/ QUESTION: Goal- To see which badminton racket will deliver the fastest smash with the least amount of energy lost in conjunction with arm power. Question- Which racket will deliver the fastest smash with the least amount of energy lost in conjunction with arm power?
PROCEDURE: Part 1- 1) Obtain two badminton rackets, a video camera, a meter stick, and open logger pro. 2) Label one racket with the letter (a) and the other with letter (b). 3) Mass both rackets and record in your lab journal. 4) Turn on video camera and begin to record. 5) Choose one person to smash both rackets. 6) Hold meter stick up to allow logger pro to judge distance. 7) Using good form, smash the air with racket (a). 8) Repeat steps 5-7 seven times. 9) Do steps 4-8 but with racket (b). 10) Connect the video camera to the computer and open up logger pro and utilize video analysis. 11) Place dots beginning at the mid back until the racket is no longer seen on the screen. 12) Find the velocity. 13) Find the time in which it took both rackets to fully "smash 14) From here, calculate the power of both using kinetic energy and power equations. 15) Find the average power for both rackets.
Part 2- 1) Obtain tape and choose a stable table on which the procedure will take place. 2) Tape badminton racket (a) to the table. 3) Obtain a birdie and mass it. Record the value. 4) Take a meter stick and tape it to a solid surface. 5) Turn on the camera and begin recording. 6) Hold birdie at shoulder height and drop onto the racket. 7) Repeat step 6, five times. 8) Repeat steps 2-7 with racket (b) 9) Turn on logger pro and utilize video analysis. 10) Place dots in order to find the initial and final heights. 11) From here, calculate the change in energy by utilizing the potential energy equation. 12) Find the average change in energy for both rackets.
DATA/CALCULATIONS: Part 1- Equations: KE=.5mv^2 KE= TME TME/time= Power
Calculations for racket (a): Mass of racket (a) = 0.095 kg
Video-- 0.196 Time= 0.3 seconds Velocity= 13.83 m/s 0.5(13.83^2)(0.095)= 9.09 Total Mechanical Energy= 9.09 J 9.09/0.3= 30.28 Power= 30.28 Watts
REFLECTIONS/CONCLUSION: Through our experiments, we were able to discover that more power is generated from a smash when using racket (b). We were also able to determine that racket (b) loses less energy when it hits a birdie. Thus, racket (b) would deliver the fastest smash with the least amount of energy lost in conjunction with arm power. We realized that by keeping the “smasher” constant, we would be able to convey a more accurate depiction of arm power with a different racket. We also kept constant the person who dropped the birdie in order to eliminate any potential discrepancy between drops. We understand that air resistance was brought into play while it was dropped onto the badminton racket, but in reality, air resistance is always present.
TITLE:The Ultimate Badminton Package!
LAB GOAL/ QUESTION:
Goal- To see which badminton racket will deliver the fastest smash with the least amount of energy lost in conjunction with arm power.
Question- Which racket will deliver the fastest smash with the least amount of energy lost in conjunction with arm power?
PROCEDURE:
Part 1-
1) Obtain two badminton rackets, a video camera, a meter stick, and open logger pro.
2) Label one racket with the letter (a) and the other with letter (b).
3) Mass both rackets and record in your lab journal.
4) Turn on video camera and begin to record.
5) Choose one person to smash both rackets.
6) Hold meter stick up to allow logger pro to judge distance.
7) Using good form, smash the air with racket (a).
8) Repeat steps 5-7 seven times.
9) Do steps 4-8 but with racket (b).
10) Connect the video camera to the computer and open up logger pro and utilize video analysis.
11) Place dots beginning at the mid back until the racket is no longer seen on the screen.
12) Find the velocity.
13) Find the time in which it took both rackets to fully "smash
14) From here, calculate the power of both using kinetic energy and power equations.
15) Find the average power for both rackets.
Part 2-
1) Obtain tape and choose a stable table on which the procedure will take place.
2) Tape badminton racket (a) to the table.
3) Obtain a birdie and mass it. Record the value.
4) Take a meter stick and tape it to a solid surface.
5) Turn on the camera and begin recording.
6) Hold birdie at shoulder height and drop onto the racket.
7) Repeat step 6, five times.
8) Repeat steps 2-7 with racket (b)
9) Turn on logger pro and utilize video analysis.
10) Place dots in order to find the initial and final heights.
11) From here, calculate the change in energy by utilizing the potential energy equation.
12) Find the average change in energy for both rackets.
DATA/CALCULATIONS:
Part 1-
Equations: KE=.5mv^2
KE= TME
TME/time= Power
Calculations for racket (a):
Mass of racket (a) = 0.095 kg
Video-- 0.196
Time= 0.3 seconds
Velocity= 13.83 m/s
0.5(13.83^2)(0.095)= 9.09
Total Mechanical Energy= 9.09 J
9.09/0.3= 30.28
Power= 30.28 Watts
Video-- 0.198
Time= 0.097 seconds
Velocity = 14.7768 m/s
0.5(14.7768^2)(0.095)= 10.3717
Total Mechanical Energy= 10.3717 J
10.3717/0.097= 106.097
Power= 106.926 Watts
Video-- 0.199
Time= 0.1 seconds
Velocity= 18.60 m/s
0.5(18.60^2)(0.095)= 16.433
Total Mechanical Energy= 16.433 J
16.433/0.1= 164.331
Power = 164.331 Watts
Video-- 0.200
Time= 0.1002 seconds
Velocity= 15.281 m/s
0.5(15.281^2)(0.095)= 11.0917
Total Mechanical Energy= 11.0917 J
11.0917/0.1002= 110.695
Power = 110.695 Watts
Video-- 0.201
Time= 0.1334 seconds
Velocity= 18.064 m/s
0.5(18.064^2)(0.095)= 15.50
Total Mechanical Energy= 15.50 J
15.50/0.1334= 116.189
Power = 116.189 Watts
Video-- 0.204
Time= 0.10 seconds
Velocity= 18.199 m/s
0.5(18.199^2)(0.095)= 17.1457
Total Mechanical Energy= 17.1475 J
17.1475/0.10= 171.457
Power= 171.457 Watts
Video-- 0.205
Time= 0.0666 seconds
Velocity= 21.5023 m/s
0.5(21.5023^2)(0.095)= 21.9616
Total Mechanical Energy= 21.9616 J
21.9616/0.0666= 329.754
Power= 329.754 Watts
Average Power: 174.063 Watts
*Image of logger pro with above data
Calculations for racket (b):
Mass of racket (b) = 0.1 kg
Video-- 0.206
Time= 0.0984 seconds
Velocity= 14.9513 m/s
0.5(14.9513 ^2)(0.095)= 10.6181
Total Mechanical Energy= 10.6181 J
10.6181/0.0984= 107.908
Power= 107.908 Watts
Video-- 0.207
Time= 0.1334 seconds
Velocity= 14.4306 m/s
0.5(14.4306 ^2)(0.095)= 9.89
Total Mechanical Energy= 9.89 J
9.89/0.1334= 74.1492
Power= 74.1492 Watts
Video-- 0.208
Time= 0.599 seconds
Velocity= 14.7913 m/s
0.5(14.7913 ^2)(0.095)= 10.3921
Total Mechanical Energy= 10.3921 J
10.3921/0.599= 17.4364
Power= 17.4364 Watts
Video-- 0.209
Time= 0.133 seconds
Velocity= 14.7268 m/s
0.5(14.7268 ^2)(0.095)= 10.3017
Total Mechanical Energy= 10.3017 J
10.3017/0.133= 77.4567
Power= 77.4567 Watts
Video-- 0.210
Time= 0.1002 seconds
Velocity= 14.5655 m/s
0.5(14.5655 ^2)(0.095)= 9.93941
Total Mechanical Energy= 9.93941 J
9.93941/0.1002= 99.1957
Power= 99.1957 Watts
Video-- 0.211
Time= 0.1687 seconds
Velocity= 12.0508 m/s
0.5(^2)(0.095)= 6.89807
Total Mechanical Energy= 6.89907 J
6.89907/0.1687= 41.6299
Power= 41.6299 Watts
Video -- 0.212
Time= 0.1336 seconds
Velocity= 16.3332 m/s
0.5( 16.3332^2)(0.095)= 12.6717
Total Mechanical Energy= 12.6717 J
12.6717/0.1336= 94.8483
Power= 94.8483 Watts
Average Power: 202.817 Watts
*Image of logger pro with above data
Part 2-
mass= 0.005 kilograms
equation: PE=m*g*h
PEf- PEi= Change in Energy
Racket (a)
Video: 0.0231
Initial Height= 0.30 meters
Final Height= 0.15 meters
Initial Potential Energy: 0.0498*0.30 = 0.0147 J
Final Potential Energy: 0.0498* 0.15= 0.00736 J
Change in Energy: 0.00736- 0.0147= -0.00734 J
Video: 0.0232
Initial Height= 0.40 meters
Final Height= 0.10 meters
Initial Potential Energy: 0.0498* 0.40= 0.196 J
Final Potential Energy: 0.0498* 0.10= 0.0049 J
Change in Energy: 0.0049- 0.0196= -0.0147 J
Video: 0.0233
Initial Height= 0.42 meters
Final Height= 0.15 meters
Initial Potential Energy: 0.0498* 0.42= 0.02058 J
Final Potential Energy: 0.0498* 0.15= 0.00735 J
Change in Energy: 0.00735- 0.02058= -0.01323 J
Video: 0.0234
Initial Height= 0.52 meters
Final Height= 0.10 meters
Initial Potential Energy: 0.0498* 0.52= 0.025896 J
Final Potential Energy: 0.0498* 0.10= 0.00498 J
Change in Energy: 0.00498- 0.025896= -0.020916 J
Video: 0.0235
Initial Height= 0.50 meters
Final Height= 0.12 meters
Initial Potential Energy: 0.0498* 0.50= 0.0249 J
Final Potential Energy: 0.0498* 0.12= 0.005976 J
Change in Energy: 0.005976- 0.0249 = -0.018924 J
Average change in energy: -0.015022 J
*Image of logger pro with above data
Racket (b)
Video: 0.0239
Initial Height= 0.45 meters
Final Height= 0.15 meters
Initial Potential Energy: 0.0498*0.45= 0.02352 J
Final Potential Energy: 0.0498*0.15= 0.00735 J
Change in Energy: 0.00735- 0.02352= -0.01617 J
Video: 0.240
Initial Height= 0.38 meters
Final Height= 0.18 meters
Initial Potential Energy: 0.0498*0.38= 0.01862 J
Final Potential Energy: 0.0498*0.18= 0.00882 J
Change in Energy: 0.00882- 0.01862= -0.0098 J
Video: 0.241
Initial Height= 0.45meters
Final Height= 0.17 meters
Initial Potential Energy: 0.0498*0.45= 0.02205 J
Final Potential Energy: 0.0498*0.17= 0.00833 J
Change in Energy: 0.00833- 0.02205= 0.01372 J
Video: 0.242
Initial Height= 0.42 meters
Final Height= 0.16 meters
Initial Potential Energy: 0.0498*0.42= 0.02058 J
Final Potential Energy: 0.0498*0.16 = 0.00784 J
Change in Energy: 0.00784- 0.02058= -0.01274 J
Video: 0.243
Initial Height= 0.43 meters
Final Height= 0.20 meters
Initial Potential Energy: 0.0498*0.43 = 0.02107 J
Final Potential Energy: 0.0498*0.20 = 0.0098 J
Change in Energy: 0.0098 - 0.02107= -0.01127 J
Average change in energy: -0.01274
*Image of logger pro with above data
REFLECTIONS/CONCLUSION: Through our experiments, we were able to discover that more power is generated from a smash when using racket (b). We were also able to determine that racket (b) loses less energy when it hits a birdie. Thus, racket (b) would deliver the fastest smash with the least amount of energy lost in conjunction with arm power. We realized that by keeping the “smasher” constant, we would be able to convey a more accurate depiction of arm power with a different racket. We also kept constant the person who dropped the birdie in order to eliminate any potential discrepancy between drops. We understand that air resistance was brought into play while it was dropped onto the badminton racket, but in reality, air resistance is always present.